Answer: a) 84 and b ) 2084
Step-by-step explanation:
Given : Sample standard deviation : s= $22.82
(Population standard deviation is unknown ) , so we use t-test.
Critical value or the 95% confidence intervals :
Formula to find the sample size :
a) E = 5
i.e. Required sample size : n= 84
b) E = 1
i.e. Required sample size : n= 2084
X and Y are supplementary, that means X + Y = 180.
But we have, X = Y +24, then
X + Y = Y + 24 + Y = 2Y + 24 = 180
Then
2Y = 156
Y = 78
Then X = 78 + 24 = 102.
Answer:
E) 176
Step-by-step explanation:
The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.
There are a total of 5+3 = 8 ratio units, so there are ...
8 × 22 = 176
people in the group.
_____
<em>Check</em>
The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...
88 : 88 = 1 : 1
Answer:
38.5 kg of grass
Step-by-step explanation:
We can solve this problem by using a proportion. (Kg of grass over horses)
Let x = the amount of grass 11 horses will eat in the same period of time.
112/32 = x/11 Cross multiply
1232 = 32x Divide both sides by 32
x = 38.5
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